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68702437440 = 2635572131973
BaseRepresentation
bin111111111110111111…
…000000000001000000
320120022222202102200000
4333332333000001000
52111200310444230
651321135400000
74651340040300
oct777677000100
9216288672600
1068702437440
112715580a11a
1211394383000
13662b683c60
14347a56b600
151bc1752b60
hexffefc0040

68702437440 has 2016 divisors, whose sum is σ = 327582702720. Its totient is φ = 13544423424.

The previous prime is 68702437403. The next prime is 68702437471. The reversal of 68702437440 is 4473420786.

68702437440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×687024374402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 941129244 + ... + 941129316.

It is an arithmetic number, because the mean of its divisors is an integer number (162491420).

Almost surely, 268702437440 is an apocalyptic number.

68702437440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68702437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163791351360).

68702437440 is an abundant number, since it is smaller than the sum of its proper divisors (258880265280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68702437440 is a wasteful number, since it uses less digits than its factorization.

68702437440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 68702437440 in words is "sixty-eight billion, seven hundred two million, four hundred thirty-seven thousand, four hundred forty".